IMAL   13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
Dyadic nonlocal diffusion in metric measure spaces
Autor/es:
ACTIS, MARCELO; AIMAR, HUGO
Revista:
FRACTIONAL CALCULUS AND APPLIED ANALYSIS
Editorial:
DE GRUTER
Referencias:
Lugar: Berlin; Año: 2015 vol. 18 p. 762 - 788
ISSN:
1311-0454
Resumen:
In this paper we solve the initial value problem for the nonlocal diffusion generated by the space fractional derivative induced by the dyadic tilings of M. Christ on a space of homogeneous type. We consider the problems of pointwise and norm convergence to the initial data. The main tool is the use of the Haar system induced by a dyadic tiling, which is actually the set of eigenfunctions for the fractional derivative operator.